The speed of sound in air is 343 m/s. Using the relationships 3.3 feet in a meter, 5280 feet i na mile, and the time relationships you know, determine the sped in miles per hour.(answer:772mi/h)
i don't know why that answer thing is there but i put it anyway.
wrong. the right answer is 1235. i got the wrong answer with the one above.
343m/s*3.3feet/m*1mile/5280ft*3600s/hr
will that do it?
How did you figure it out
To determine the speed of sound in miles per hour, we can use the given speed of sound in meters per second and the conversion factors provided.
1. Start by converting the speed of sound from meters per second to feet per second:
- Since there are 3.3 feet in a meter, we divide the speed of sound by 3.3 to convert meters to feet.
- Therefore, the speed of sound in feet per second is: 343 m/s / 3.3 = 103.9394 ft/s (approximated to 4 decimal places).
2. Next, convert the speed of sound from feet per second to miles per hour:
- There are 5280 feet in a mile, so we divide the speed of sound in feet per second by 5280 to convert feet to miles.
- To convert seconds to hours, we multiply the result by 3600 (since there are 60 seconds in a minute and 60 minutes in an hour).
- Therefore, the speed of sound in miles per hour is: 103.9394 ft/s * 3600 s/h / 5280 ft/mi = 706.7647 mi/h (approximated to 4 decimal places).
Therefore, the speed of sound in air is approximately 772 miles per hour.